Effects of acceleration on interatomic interactions

Abstract

The Unruh effect establishes a fundamental equivalence between acceleration and thermality by demonstrating that a uniformly accelerated ground-state detector undergoes excitation as if immersed in a thermal bath. In this paper, we investigate how acceleration influences the interaction between two ground-state atoms that are synchronously and uniformly accelerated in vacuum with proper acceleration $a$ and coupled to a fluctuating electromagnetic field. We find that the resulting interaction potential comprises both diagonal components $(\delta E{)}^{jk}$ with $j=k$, which are present in both inertial and acceleration cases, and off-diagonal components $(\delta E{)}^{jk}$ with $j\ne k$, which arise exclusively due to acceleration and vanish in the inertial case. The dependence of each component on acceleration and interatomic separation $L$ generally differs. For small accelerations, the leading-order diagonal components of the van der Waals (vdW) and Casimir-Polder (CP) interaction potentials remain unchanged from their inertial counterparts, exhibiting the standard scaling behaviors $\sim L^{-6}$ and $\sim L^{-7}$, respectively. In contrast, the off-diagonal components scale as $\sim a^2{L}^{-4}$ in the vdW subregions and $\sim a^2{L}^{-5}$ in the CP subregion. However, when the acceleration becomes sufficiently large, both diagonal and off-diagonal components of the vdW and CP interaction potentials are significantly modified, giving rise to entirely new interaction behaviors that deviate from those observed in the inertial case, whether in vacuum or thermal environments, indicating a breakdown of the acceleration-thermality equivalence established by the Unruh effect for single detectors.

27 pages, 1 figure

References in corpus (12)

• Many-Body Physics with Ultracold Gases
• Long-range interacting quantum systems
• Spontaneous excitation of an accelerated hydrogen atom coupled with electromagnetic vacuum fluctuations
• Spontaneous absorption of an accelerated hydrogen atom near a conducting plane in vacuum
• Position dependent energy level shifts of an accelerated atom in the presence of a boundary
• Field fluctuations near a conducting plate and Casimir-Polder forces in the presence of boundary conditions
• Resonance interaction energy between two accelerated identical atoms in a coaccelerated frame and the Unruh effect
• Spontaneous excitation of a uniformly accelerated atom coupled with vacuum Dirac field fluctuations
• Casimir-Polder interatomic potential between two atoms at finite temperature and in the presence of boundary conditions
• Interatomic interaction of two ground-state atoms in vacuum: contributions of vacuum fluctuations and radiation reaction
• Probing long-range properties of vacuum altered by uniformly accelerating two spatially separated Unruh-DeWitt detectors
• Quantum thermal field fluctuation induced corrections to the interaction between two ground-state atoms